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Finding the Fourth Proportional to 1,020.20, 1,430.20 and 1,020.20

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Solution

The fourth proportional to 1,020.20, 1,430.20 and 1,020.20 is: 1,430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.20 : 1,430.20 = 1,020.20 : x
  2. Step 2: Convert to fraction form
    1,020.20/1,430.20 = 1,020.20/x
  3. Step 3: Cross multiply
    1,020.20x = 1,430.20 × 1,020.20
  4. Step 4: Simplify right side
    1,020.20x = 1,459,090.04
  5. Step 5: Solve for x
    x = 1,459,090.04/1,020.20
  6. Step 6: Final answer
    x = 1,430.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.